Sr Examen
Integral de 1/(x*sqrt(ln(2x)^2-3)) dx
Solución
Ha introducido
[src]
1 / | | 1 | -------------------- dx | _______________ | / 2 | x*\/ log (2*x) - 3 | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(2 x \right)}^{2} - 3}}\, dx$$
Integral(1/(x*sqrt(log(2*x)^2 - 3)), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | 1 | 1 | -------------------- dx = C + | ----------------------------------------------- dx | _______________ | __________________________________________ | / 2 | / 2 2 | x*\/ log (2*x) - 3 | x*\/ -3 + log (2) + log (x) + 2*log(2)*log(x) | | / /
$$\int \frac{1}{x \sqrt{\log{\left(2 x \right)}^{2} - 3}}\, dx = C + \int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 2 \log{\left(2 \right)} \log{\left(x \right)} - 3 + \log{\left(2 \right)}^{2}}}\, dx$$
Respuesta
[src]
1 / | | 1 | ----------------------------------------------- dx | __________________________________________ | / 2 2 | x*\/ -3 + log (2) + log (x) + 2*log(2)*log(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 2 \log{\left(2 \right)} \log{\left(x \right)} - 3 + \log{\left(2 \right)}^{2}}}\, dx$$
=
=
1 / | | 1 | ----------------------------------------------- dx | __________________________________________ | / 2 2 | x*\/ -3 + log (2) + log (x) + 2*log(2)*log(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 2 \log{\left(2 \right)} \log{\left(x \right)} - 3 + \log{\left(2 \right)}^{2}}}\, dx$$
Integral(1/(x*sqrt(-3 + log(2)^2 + log(x)^2 + 2*log(2)*log(x))), (x, 0, 1))
Respuesta numérica
[src]
(4.54044985849606 - 1.80140546830524j)
(4.54044985849606 - 1.80140546830524j)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.